A Multiplicity Result for the Yamabe Problem on Sn

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Abstract

We prove a multiplicity result for the Yamabe problem on the manifold (S, g), where g is a perturbation of the standard metric g0 of Sn. Solutions are found by variational methods via an abstract perturbation result. © 1999 Academic Press.

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Ambrosetti, A., & Malchiodi, A. (1999). A Multiplicity Result for the Yamabe Problem on Sn. Journal of Functional Analysis, 168(2), 529–561. https://doi.org/10.1006/jfan.1999.3458

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